This notebook provides a quick test for 3D stream plots in MuMot¶

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import mumot

mumot.__version__

Here we define our 3D model:¶

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model1 = mumot.parseModel(r"""
U -> A : g_1
U -> B : g_2
U -> C : g_3
A -> U : a_1
B -> U : a_2
C -> U : a_3
A + U -> A + A : r_1
B + U -> B + B : r_2
C + U -> C + C : r_3
A + B -> A + U : s
A + B -> B + U : s
A + C -> A + U : s
A + C -> C + U : s
B + C -> B + U : s
B + C -> C + U : s
""")

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model2 = model1.substitute('U = N - A - B - C')

3d stream plot takes a random selection of starting points and plots streams by integrating the model equations using the start points as initial conditions.

The colour of each stream shows the initial speed of each stream in the stream plot.

New keywords for the 3d stream plot: - setNumPoints (type: int) this sets the number of streams to be plotted - maxTime (type: float) this sets the length of time over which the streams are integrated

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modelStreamPlot = model2.stream('A', 'B', 'C', showFixedPoints = True, maxTime = 2.0)

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modelStreamPlot.showLogs()

NOTE: streams can be slow to update when the sliders are changed, if showFixedPoints = True then sometimes it can get stuck on calculating the fixed points and won't update

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